What is the Least Common Multiple of 19856 and 19874?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 19856 and 19874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19856 and 19874, than apply into the LCM equation.

GCF(19856,19874) = 2
LCM(19856,19874) = ( 19856 × 19874) / 2
LCM(19856,19874) = 394618144 / 2
LCM(19856,19874) = 197309072

Least Common Multiple (LCM) of 19856 and 19874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19856 and 19874. First we will calculate the prime factors of 19856 and 19874.

Prime Factorization of 19856

Prime Factorization of 19874

Now multiplying the highest exponent prime factors to calculate the LCM of 19856 and 19874.

LCM(19856,19874) = 2⁴ × 17¹ × 73¹ × 19¹ × 523¹
LCM(19856,19874) = 197309072